Spaces of integrably bounded multifunctions

Year, pages: 2002, 153 - 159

We generalize well known spaces $L¹(μ)$ to the case of Bochner measurable maps with values in an arbitrary metric space. We obtain some results on density of simple and continuous maps in these spaces. As an application we get some approximation theorems for multifunctions.

Kubiś, B. 2002. Spaces of integrably bounded multifunctions. In Tatra Mountains Mathematical Publications, vol. 24, no.2, pp. 153-159. 1210-3195.

Kubiś, B. (2002). Spaces of integrably bounded multifunctions. Tatra Mountains Mathematical Publications, 24(2), 153-159. 1210-3195.